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A205744 The sequence "u_{n-r}" used by Conway and Guy in the construction of A005318 and A096858. 5
0, 0, 1, 1, 2, 4, 4, 7, 13, 24, 24, 44, 84, 161, 309, 309, 594, 1164, 2284, 4484, 8807, 8807, 17305, 34301, 68008, 134852, 267420, 530356, 530356, 1051905, 2095003, 4172701, 8311101, 16554194, 32973536, 65679652, 65679652, 130828948, 261127540, 521203175, 1040311347, 2076449993 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..42.

R. K. Guy, Sets of integers whose subsets have distinct sums, pp. 141-154 of Theory and practice of combinatorics. Ed. A. Rosa, G. Sabidussi and J. Turgeon. Annals of Discrete Mathematics, 12. North-Holland 1982. See Table 1, column (3).

FORMULA

This is A005318 with the terms A005318(i) repeated iff i is a triangular number.

A005318(n+1) = 2*A005318(n)-A205744(n), A205744(n) = A005318(A083920(n)), A083920(n) = n - A002024(n). - N. J. A. Sloane, Feb 11 2012

CROSSREFS

Cf. A005318, A096858.

Sequence in context: A226870 A227751 A268995 * A237859 A240338 A227103

Adjacent sequences:  A205741 A205742 A205743 * A205745 A205746 A205747

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Feb 09 2012

STATUS

approved

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Last modified November 23 19:03 EST 2017. Contains 295128 sequences.